solve using the quadratic equationX^2 -4x -3 =0

Answers

Answer 1

Answer:

[tex]x = 2[/tex] ± [tex]\sqrt{7}[/tex]

Step-by-step explanation:

Lets see the quadratic equation :

x = -b ± [tex]\sqrt{b^2 - 4ac}[/tex] / 2a

So now we have our quadratic :

[tex]x^2 - 4x - 3 =0[/tex]

a = ?^2 (Exponent)

b = ?x   (Variable)

c = ?     (Constant)

So replace every variable in the quadratic equation with the ones in the quadratic formula.

x = -(-4) ± (-4)^2 - 4(1)(-3) / 2(1)

(Imagine (-4)^2 - 4(1)(-3) in a square root)

x = 4 ± [tex]\sqrt{16 - - 12}[/tex] / 2

x = 4 ± [tex]\sqrt{28}[/tex] / 2

Of course 28 isn't available for a square root property, so lets break it up :

x = 4 ± [tex]2\sqrt{7}[/tex] / 2

Simplify the radical :

[tex]x = 2[/tex] ± [tex]\sqrt{7}[/tex]

^^^


Related Questions

There were 420 matches in the football tournament, with each team playing one team at a time on its own and others' fields. How many teams participated in the competition?​

Answers

Answer:

840

Step-by-step explanation:

If two teams play one match and there is 420 matches, you just multiply 420 by 2.

What is m∠1?.........

Answers

answer is 142

hope that helped

Answer:

m<1 = 180

Step-by-step explanation:

hope this helps sorry if incorrect have a good rest of your afternoon :) ❤

The blue pen is 12 cm long the red pen is 72 mm long what is the difference between the 2 pens?

Answers

Answer:

the difference between the 2 pens is 4.8 cm

If x and y vary inversely; and y = 2, when x = 3. Find the value of y, when x = -2.

Answers

Step-by-step explanation:

this is the answer I hope it helps

y - 0.8x = 0.5
5y - 2.5 = 4x
*Substitution

Answers

Answer:

y =1.6 x

Step-by-step explanation:

hope this is right!!!

Answer:

y=0.5+0.8x

Step-by-step explanation:

solve for the first variable in one of the equations and then substitute the result into the other equation

Tell whether the following numbers are prime or composite.
a) 17 _________ b) 54 _________ c) 77_________ d) 23 __________

ANSWER:
l--------------------------------------------------------------------------------------------l
l--------------------------------------------------------------------------------------------l

Answers

Answer:

17= Prime number

54= Composite

77=Composite

23=Prime

Hello there!

Prime numbers have 2 factors and composite numbers have 3 or more factors.

17 is prime because it has only 2 factors: 1 and itself.

54 is composite because it has more than 3 factors.

77 is composite because it has more than 3 factors.

23 is prime because it has only 2 factors.

Hope this helps you!

~Just a joyful teen

[tex]SilentNature[/tex]

Which step is the answer to the question and you cant answer step 5

Answers

Answer:

Step-by-step explanation:

Step 2, she factored the trinomial incorrectly. She did, "what two numbers multiply to equal 6 but add to equal 5?" She should have asked multiply to equal -6 and add to equal 5. The correct factorization would be:

(x+6)(x-1) = 0

x = -6 and 1

the original price of a sweater is d dollars. you buy the sweater for (m - 3) dollars. you decorate the sweater and sell it for (5m - 7) dollars. write an expression that represents your earnings from buying and selling the sweater

Answers

Answer:

-10d

Step-by-step explanation:

Please Answer

Solve for X

Answers

here is the answer in the image okay bro

Answer:

Step-by-step explanation:

(14x + 4)° + 55° + 51° = 180°

14x + 110 = 180

14x = 70

x = 5

A robot can complete 5 tasks in an hour. Each task takes the same amount of time.

a. How long does it take the robot to complete one task?

b. How many tasks can the robot complete in one hour?

Answers

1 task per 12 mins. 5 tasks in 1 hour

Each week you weigh your pet guinea pigs to make sure they are healthy.
Guinea pigs are good at hiding illness, but if you weigh them you can tell if they
are sick
Last week Max weighed 950 grams, but this week he weighed 900 grams!
Find the percent change and describe it as a percent increase or decrease.
Round to the nearest hundredth place value.

Answers

Answer:

5.26 , decrease

Step-by-step explanation:

950-900=50

changed÷original×100

50÷950×100

≈5.26(Round to the nearest hundredth place)

What is the value of x and y?

HELP ME OUT BRO PLEASE THIS IS DUED BY 9 pm ughhh

Answers

Answer:

x = 4 y = 2✓3

Step-by-step explanation:

I'm big brain

What is the volume of the portion of the aquarium with water in it?


1. 101 cm³

2. 14000 cm³

3. 32,200 cm³

4.46,200 cm³

Answers

Answer:

Hey there, the answer is

C. 32,200 cm

Step-by-step explanation:

I took the test and got it correct, hope this helps!

Answer:

32,200 cm³

Step-by-step explanation:

Took the test

Choose all angles that are less than 90 degrees.

Answers

Answer:

1,3,4 and 5 are the angles which are less than 90°.

Step-by-step explanation:

A 90° angle looks like this |_.

So if there's any any angle that has measure less than 90° likely looks like this /_ ( Just connect the fixed and the terminal ray. I couldn't do it here. )

Hope this helps you.

Answer:

1, 3, 4, 5

Step-by-step explanation:

They are all less than 90°!

MATH HELP ASAP!!! MAKING BRAINLIST

Answers

Answer:

22.86

Step-by-step explanation:

2.54 x 9 will give you the answer.

Answer:

22.86

Step-by-step explanation:

2.54×9 = 22.86

hope this helps :)

Help me out pls!! I'll give Brainliest!!

Answers

Answer: Its A

Step-by-step explanation:

Answer: D, bottom right

pls help i am on a timer

Answers

Answer:

[tex]x = 1 + \sqrt{2} \ \ or \ 1- \sqrt{2}[/tex]

Step-by-step explanation:

Given;

x² - 2x - 1 = 0

Solve by completing the square method;

⇒ take the constant to the right hand side of the equation.

x² - 2x = 1

⇒ take half of coefficient of x = ¹/₂ x -2 = -1

⇒ square half of coefficient of x and add it to the both sides of the equation

[tex]x^2 + (-1)^2 = 1 + (-1)^2[/tex]

[tex](x-1)^2 = 1 + 1\\\\(x-1)^2 = 2\\\\[/tex]

⇒ take the square root of both sides;

[tex]x-1 = +/- \ \ \sqrt{2} \\\\x = 1 + \sqrt{2} \ \ or \ 1- \sqrt{2}[/tex]

Therefore, option B is the right solution.

(Multiple choice/ Brainliest will be rewarded)
I’d like some help on this question.
(Zoom in if needed, the answer may be blurry )

Answers

Answer:

1. h=1.5d. 2. 30cm in 20 days

Step-by-step explanation:

2. 20×1.5

1. A submarine is descending to examine the sea floor 6200 feet below the surface it takes a submarine four hours to make this decent what was the submarines change in depth per hour

2. Write an equation to represent the relationship between
the submarines elevation and time. Use y to represent the
elevation in feet and x to represent the time in hours.

3. Another submarines descent can be represented as Y equals -3100 X where y is the elevation and ask is time and x is time in hours how long will it take the submarine to make the next descent

Answers

Answer:

6,200 divided by 4 = 1500

Step-by-step explanation:

Determine whether each function is even, odd, or neither.
1. f(x) = sqrt x^2 - 9
2. g(x) = |x-3|
3. f(x) = 1/2
4. f(x) = x/x²-1
5. g(x) = x + x^2

Answers

Answer:even,neither,odd,neither

Step-by-step explanation:I’m not explaining I just gave you the answers

1. [tex]f(x) = \sqrt{x^2 - 9}[/tex] is even.

2. g(x) = |x - 3| is neither even nor odd.

3. f(x) = 1/2 is neither even nor odd.

4. [tex]f(x) = x / (x^2 - 1)[/tex] is odd.

5. [tex]g(x) = x + x^2[/tex] is neither even nor odd.

To determine whether each function is even, odd, or neither, we need to apply the definitions of even and odd functions:

1. An even function satisfies f(x) = f(-x) for all x in its domain.

2. An odd function satisfies f(x) = -f(-x) for all x in its domain.

Let's analyze each function:

1. [tex]f(x) = \sqrt{x^2 - 9}[/tex]

To determine if this function is even or odd, we need to check f(x) and f(-x):

[tex]f(x) = \sqrt{x^2 - 9}\\f(-x) = \sqrt{(-x)^2 - 9} = \sqrt{x^2 - 9}[/tex]

Since f(x) = f(-x), the function is even.

2. g(x) = |x - 3|

To determine if this function is even or odd, we need to check g(x) and g(-x):

g(x) = |x - 3|

g(-x) = |-x - 3|

Since |-x - 3| is not equal to |x - 3|, the function is neither even nor odd.

3. f(x) = 1/2

Since this is a constant function (not dependent on x), it is neither even nor odd.

4. [tex]f(x) = x / (x^2 - 1)[/tex]

To determine if this function is even or odd, we need to check f(x) and f(-x):

[tex]f(x) = x / (x^2 - 1)\\f(-x) = (-x) / ((-x)^2 - 1) = -x / (x^2 - 1)[/tex]

Since f(x) = -f(-x), the function is odd.

5. [tex]g(x) = x + x^2[/tex]

To determine if this function is even or odd, we need to check g(x) and g(-x):

[tex]g(x) = x + x^2\\g(-x) = -x + (-x)^2 = -x + x^2[/tex]

Since g(x) is not equal to g(-x), the function is neither even nor odd.

To know more about even:

https://brainly.com/question/34133575

#SPJ2

WILL GIVE BRAINLIEST!
Consider the following.
twelve times the difference between a number and fifty-five
Translate into a variable expression. (Use x for your variable. Do not simplify.)

Answers

Oh wyeah wowowiwo wowowiwo

HELP PLEASE I NEED TO PASS TEST!!!
Sam has a rectangular rug with an area of 48 square feet. The rug is 8 feet longer than it is wide. What is the width of the rug?

A. w = 4 feet

B. w = 12 feet

C. w = 8 feet

D. w = 6 feet

Answers

Answer:

B

Step-by-step explanation:

just use logic it really helps you have to think things through

Answer:

4 feet

Step-by-step explanation:

?+8=12

4+8=12

12*4=48

Making the answer 4 feet

The ratio of blue skittles to red skittles in Tayler's bag is 3 to 4. If there are 20 red
skittles in Tayler's bag, how many total skittles does Tayler have? *
HELPPP ASAPPP PLEASE

Answers

Answer:

Tayler has 35 SHKITTLES IN ALL

Step-by-step explanation:

Since Tayler has 20 red Skittles, and the ratio of blue skittles to red skittles is 3 to 4, that means that Tayler has 3/4 as many blue skittles as she does red skittles. 3/4 of 20 is 15

20 + 15 = 35

Thus, Tayler has 35 skittles

SHKITTLES lol

The sum of two numbers is -12. One of the numbers is 4. What is the
other number? _____

Answers

The answer would be -16
-12 minus 4=-16

Which phrase matches the expression 2(6 + 3n)?

A. Two times a number plus three times a number.
B. The sum of 12 and three times a number.
C. Two times the sum of six and three times a number.
D. Three times a number increased by six.

Answers

Answer:

C. Two times the sum of six and three times a number

Step-by-step explanation:

three times a number=3n

six=6

the sum=+

two times= 2()

it will give us 2(6+3n)

Answer:

B

Step-by-step explanation:

number multiplied by a fraction is not always smaller than the original number. Explain this and give at least two examples to support your thinking.

Answers

Answer:

Sometimes, fractions can be written in 'improper' form, meaning that the top number (numerator) is bigger than the bottom number (denominator). So anything multiplied by a fraction like this will give a bigger number.

For example:

5 × 2/1 = 10

10 x 10/1 = 100

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are two cases where this is true. When the fraction has the same numerator and denominator, or when the numerator is much larger than the denominator.

[tex]2*\frac{4}{4}=2[/tex]

[tex]2*\frac{100}{2}=100[/tex]

In quadrilaterals, which of them have their diagonals bisecting each other?

Answers

Answer:

In quadrilaterals all parrallelograms which incude

Rectangle, Square, Rhoumbus and Parrallelogram have their diagnoos bisecting each other

Other than Parrallelograms Non Parrallelogram shapes like Trapezium also has its Diagnols bisectneach other

Hope it helps

my math problem is 3.8x=-19 I have to show all of my work... Help

Answers

Answer:

-5

Step-by-step explanation:

3.8x= -19

3.8x/3.8= -19/3.8

x=-5

You estimate that there are 75 marbles in a jar. The actual amount is 82 marbles. Find the percent error. Round to the nearest tenth of a percent if necessary. percent error %​

Answers

Answer:

-0.09

Step-by-step explanation:

Please help 25p- it’s urgent

Answers

Answer:

p = 20, q = 20, r = 30

Step-by-step explanation:

The triangle to the left of OA is isosceles ( 2 equal radii ), then the base angles are congruent, so

p = 20

The 3 angles in this triangle sum to 180°, then the angle at O is

180 - (20 + 20) = 180 - 40 = 140°

AB is a straight line so angle in triangle containing q is 180 - 140 = 40

The triangle containing q is also isosceles ( 2 equal radii ) then base angles are congruent, then

q = [tex]\frac{180-140}{2}[/tex] = [tex]\frac{40}{2}[/tex] = 20

The triangle to the right of OA is also isosceles ( 2 equal radii ) then the base angles are congruent, so

r = 30

Then p = 20, q = 20, r = 30

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